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Finding the Fourth Proportional to 126,436, 189,681.72 and 47,550.23

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Solution

The fourth proportional to 126,436, 189,681.72 and 47,550.23 is: 71,335.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,436 : 189,681.72 = 47,550.23 : x
  2. Step 2: Convert to fraction form
    126,436/189,681.72 = 47,550.23/x
  3. Step 3: Cross multiply
    126,436x = 189,681.72 × 47,550.23
  4. Step 4: Simplify right side
    126,436x = 9,019,409,412.80
  5. Step 5: Solve for x
    x = 9,019,409,412.80/126,436
  6. Step 6: Final answer
    x = 71,335.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.